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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 48400.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.bb1 | 48400cc1 | \([0, -1, 0, -122008, 53046512]\) | \(-14641/80\) | \(-1097517470720000000\) | \([]\) | \(608256\) | \(2.1457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 48400.bb do not have complex multiplication.Modular form 48400.2.a.bb
sage: E.q_eigenform(10)